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Finding the Fourth Proportional to 773.54, 1,067.16 and 463.04

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Solution

The fourth proportional to 773.54, 1,067.16 and 463.04 is: 638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.54 : 1,067.16 = 463.04 : x
  2. Step 2: Convert to fraction form
    773.54/1,067.16 = 463.04/x
  3. Step 3: Cross multiply
    773.54x = 1,067.16 × 463.04
  4. Step 4: Simplify right side
    773.54x = 494,137.77
  5. Step 5: Solve for x
    x = 494,137.77/773.54
  6. Step 6: Final answer
    x = 638.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.